In your case I wouln't use glasses. Try to relax your eyes every now and then by palming. Look for Bates method to find out how this works. I know people in person having remarkable results this way.
And no, your eyes will not become weaker if you wear your glasses.
Your prescription is very mild and you would probably get by just fine without wearing your glasses all the time. I have no idea if you have an eye disease, since that is something your doctor would have to diagnose, but based on your prescription alone, you are just fine.
Just because you need glasses doesn't mean there is anything wrong. Eyes change and adjust as we age, and it is perfectly normal. Count your blessings - there are many people out there who would kill to have great vision like you have! :-)